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Consider the unit circe C (the circle with center the origin in the plane and radius...

Consider the unit circe C (the circle with center the origin in the plane and radius 1). Let S = {α : 2α < (the circumference of C)} . Show that S is bounded above. Let p be the least upper bound of S. Say explicitly what the number p is. This exercise works in the real number system, but not in the rational number system. Why?

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